Describes a project in which students in a community college basic mathematics class worked collaboratively to write their own book on fractions. Students reinforced their math and cooperative skills, gained confidence, organized and revised their ideas, and created their own examples. Relates teacher and student responses to the project. (DMM)

Presents an instructional approach that utilizes paper-folding activities to help students understand the concept of fractions. Utilizes an area model of multiplication to extend the concept of multiplication of whole numbers to multiplication of fractions. (MDH)

Described are the conceptions held by United States and Israeli students about multiplication and division that may impede their work with decimals. Included are the introduction, method, division and multiplication task results, and the implications for education and textbook development. (KR)

This paper describes a 4-month-long experiment in computer-based learning called Instructional Software Design and presents aspects of the software evaluation. Results included greater mastery of LOGO and fractions by the experimental class than for either control class and greater acquisition of metacognitive skills. (Author/CW)

Presents a series of hands-on activities for grades K-2, 3-4, 5-6, and 6-8 using the common theme of kites to develop number sense in basic operations and fractions. Teachers' guides and worksheets are provided. (MDH)

Presents teaching methods to rectify the tendency of students and even teachers to divide the smaller number into the larger in problem situations requiring division, while recognizing the impossibility of the answer in the situation. (MDH)

Presents activities developed for teacher training courses for the middle school level that integrate mathematics history with the selected topics of number systems, fractions, and geometry. The activities seek to give relevance to history and to motivate and deepen students' understanding of the evolution of mathematical concepts. (MDH)

Discusses 4 numerical patterns occurring in the decimal expansions of 2 raised to a negative exponent. Includes two row patterns, one diagonal pattern, and a pattern in the sum of the digits of the expansions. Conjectures are presented for each pattern and subsequently proved. (MDH)

Presents a description of pedagogical content knowledge in mathematics, constructed from interviews with fifth grade teachers; suggests modifications in the general conception of pedagogical content knowledge based on this description, and suggests revisions in teacher education practices to improve teachers' understanding of pedagogical content…

Describes recent offerings in math software for fractions lessons that provide instruction and interactivity not previously available in electronic formats. Compares three products, including selection criteria for multimedia supplemental materials. A table provides specific information on the products, including grade level, format, system…

This guide contains a collection of alternative techniques for teaching arithmetic that have proved useful in teaching both children and adults with various learning problems. Discussed first are several underlying principles of instructing individuals with learning disabilities, problems, and differences and special accommodations for…

This learning module reviews basic mathematics operations involving fractions and decimals and explains the use of the percent wheel in solving percent problems. The module, which was developed for use in a course of six 2-hour sessions for hospital employees working in the environmental services and nutritional services departments, is intended…

This instructor's guide contains materials for a course designed to prepare employees for statistical process control (SPC) training given at their workplace by refreshing math skills and building the concepts and vocabulary necessary to understand SPC in manufacturing environments. SPC-Prep 1 addresses the math skills necessary to perform SPC…

This paper describes an experiment that investigated the effects of goals and self-evaluation on self-regulation processes and achievement outcomes of (n=44) fourth grade students who received instruction and practice on fraction operations. Half of the students were provided with the goal of learning how to solve problems (learning goal) and the…

Part of a larger project, "Technology, Educational Media & Materials--Assessing the Social and Cultural Impact of Group-Based, Videodisc Math Instruction in Mainstreamed Classrooms," this study addressed the question of whether the level of student achievement differs across levels of implementation of a mediated program that is based on a…